{"id":"https://openalex.org/W2033828378","doi":"https://doi.org/10.1007/s00607-006-0202-2","title":"Quantifying the effect of a control point on the sign of curvature","display_name":"Quantifying the effect of a control point on the sign of curvature","publication_year":2007,"publication_date":"2007-03-06","ids":{"openalex":"https://openalex.org/W2033828378","doi":"https://doi.org/10.1007/s00607-006-0202-2","mag":"2033828378"},"language":"en","primary_location":{"id":"doi:10.1007/s00607-006-0202-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-006-0202-2","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://doi.org/10.1007/s00607-006-0202-2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063269814","display_name":"E. I. Karousos","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"E. I. Karousos","raw_affiliation_strings":["School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece","National Technical University of Athens, School of Naval Architecture and Marine Engineering, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"National Technical University of Athens, School of Naval Architecture and Marine Engineering, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece#TAB#","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046190272","display_name":"A.I. Ginnis","orcid":"https://orcid.org/0000-0002-7989-0100"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"A. I. Ginnis","raw_affiliation_strings":["School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece","National Technical University of Athens, School of Naval Architecture and Marine Engineering, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"National Technical University of Athens, School of Naval Architecture and Marine Engineering, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece#TAB#","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113640268","display_name":"Panagiotis Kaklis","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"P. D. Kaklis","raw_affiliation_strings":["School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece","National Technical University of Athens, School of Naval Architecture and Marine Engineering, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Naval Architecture and Marine Engineering, National Technical University of Athens, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"National Technical University of Athens, School of Naval Architecture and Marine Engineering, Zografou Campus, Iroon Polyterneiou 9, 15780, Zografou, Greece#TAB#","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063269814"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4303,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65998991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"79","issue":"2-4","first_page":"249","last_page":"259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9736999869346619,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.928600013256073,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.7229342460632324},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6954489350318909},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6871906518936157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6415813565254211},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.6406749486923218},{"id":"https://openalex.org/keywords/osculating-circle","display_name":"Osculating circle","score":0.6386222839355469},{"id":"https://openalex.org/keywords/torsion-of-a-curve","display_name":"Torsion of a curve","score":0.5789241194725037},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.5648356080055237},{"id":"https://openalex.org/keywords/center-of-curvature","display_name":"Center of curvature","score":0.5384146571159363},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5133830308914185},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5109154582023621},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4772205948829651},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4619847238063812},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4284594655036926},{"id":"https://openalex.org/keywords/quintic-function","display_name":"Quintic function","score":0.419802188873291},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41500696539878845},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36334723234176636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2215670645236969},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.14776930212974548},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.07524305582046509},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07158422470092773},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05853429436683655},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.055357664823532104}],"concepts":[{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.7229342460632324},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6954489350318909},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6871906518936157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6415813565254211},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.6406749486923218},{"id":"https://openalex.org/C40890689","wikidata":"https://www.wikidata.org/wiki/Q2166240","display_name":"Osculating circle","level":2,"score":0.6386222839355469},{"id":"https://openalex.org/C84985374","wikidata":"https://www.wikidata.org/wiki/Q1892644","display_name":"Torsion of a curve","level":5,"score":0.5789241194725037},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.5648356080055237},{"id":"https://openalex.org/C161223928","wikidata":"https://www.wikidata.org/wiki/Q3775868","display_name":"Center of curvature","level":4,"score":0.5384146571159363},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5133830308914185},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5109154582023621},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4772205948829651},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4619847238063812},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4284594655036926},{"id":"https://openalex.org/C124966035","wikidata":"https://www.wikidata.org/wiki/Q33104507","display_name":"Quintic function","level":3,"score":0.419802188873291},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41500696539878845},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36334723234176636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2215670645236969},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.14776930212974548},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.07524305582046509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07158422470092773},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05853429436683655},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.055357664823532104},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00607-006-0202-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00607-006-0202-2","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/18305","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s00607-006-0202-2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing (Vienna/New York)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/18305","is_oa":true,"landing_page_url":"http://doi.org/10.1007/s00607-006-0202-2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing (Vienna/New York)","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1970663370","https://openalex.org/W2053314097","https://openalex.org/W2061297542","https://openalex.org/W2062264317","https://openalex.org/W2066021481","https://openalex.org/W2096366278","https://openalex.org/W2102884807","https://openalex.org/W2119477737","https://openalex.org/W2151262990","https://openalex.org/W3174974282"],"related_works":["https://openalex.org/W4256542148","https://openalex.org/W2052591595","https://openalex.org/W2522225352","https://openalex.org/W276574262","https://openalex.org/W2157579774","https://openalex.org/W141339580","https://openalex.org/W2332090003","https://openalex.org/W2373435319","https://openalex.org/W2309374936","https://openalex.org/W2033828378"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}